Connections between hypercubes, DNF and Hamming distance Cover Image

Connections between hypercubes, DNF and Hamming distance
Connections between hypercubes, DNF and Hamming distance

Author(s): Nikolay Yankov, Velin Spasov, Genadi Strahilov
Subject(s): Economy, Library and Information Science, Other, ICT Information and Communications Technologies
Published by: Шуменски университет »Епископ Константин Преславски«
Keywords: distance; DNF; graphs; hypercube; minimization

Summary/Abstract: We propose some advanced concepts from discrete math and coding theory for amplifying students' understanding of the matter. In this paper, we use the bijection between the points of the hypercube, and the minterms of the disjunctive normal form of a binary function. This allows us to introduce the concepts of: binary n- tuples, Hamming distance, paths in graphs, and graph coloring, among others.

  • Issue Year: XIV/2022
  • Issue No: 1
  • Page Range: 113-120
  • Page Count: 8
  • Language: English